How to Subtract Fractions Cheat Sheet

Easy to follow steps and graphics to support you with subtracting fractions

21 August, 2022

Here's your ready-to-go cheat sheet for subtracting fractions! Download the PDF here.

Version 1:

How to subtract fractions cheat sheet

Version 2:

How to subtract fractions cheat sheet with butterfly method


How to Subtract Fractions

The numerator of a fraction tells us the number of parts of the whole that we have. It is written above the line in a fraction. The denominator of a fraction tells us the total number of equal parts that something has been divided into. It is written below the line in a fraction.

In order to subtract fractions, the fractions need to have the same denominator. We call this a common denominator. We can subtract fractions with a common denominator easily because the whole is divided into parts of the same size.

Subtracting fractions with a common denominator

In this equation, we are subtracting two quarters from three quarters. Our answer is going to tell us how many quarters we have left. The denominator stays the same since both fractions are shown in quarters and we subtract 2 from 3 to find out the numerator. This gives us an answer of 1/4 (one quarter).

As you can see below, the same process applies when subtracting any improper fractions.

Subtracting improper fractions with a common denominator

If the fractions have different denominators, it is harder to subtract them because the parts are not the same size. As you can see in the picture below, 2/3 can be subtracted from 3/4, however, the remaining amount is neither in quarters or thirds. We need to find a common unit for the amounts we're working with.

Subtracting fractions with different denominators

We can do this by finding the Lowest Common Multiple (LCM) of our denominators. This number will need to be a multiple of both 3 and 4.

Multiples of 3: 3, 6, 9, 12, 15

Multiples of 4: 4, 8, 12, 16, 20

LCM of 3 & 4: 12


Now we multiply each fraction by a fraction equivalent to 1 to get that LCM as the denominator for each fraction. In this case we multiply by 3/3 and 4/4:

Finding the lowest common multiple subtraction9/12 is equivalent to 3/4 and 8/12 is equivalent to 2/3. The difference now is that both of our fractions have the same denominator. With common denominators, we can subtract the numerators to find out how many parts we have left:

Subtracting fractions diagram

9/12 - 8/12 gives us 1/12, which is our answer!

Done!


Want to grab more Maths cheat sheets? Take a look at:

How to Add Fractions Cheat Sheet

How to Multiply Fractions Cheat Sheet

How to Divide Fractions Cheat Sheet

Comments

All Categories

Sign up for the latest content and updates!